Theory of diffraction effects in electron emission from solid surfaces

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Abstract
Electron emission is represented in terms of an initial state that is a superposition of outgoing partial waves centred on an emitting ion core. A theory of the multiple scattering of this initial state by the ion cores of the solid is given using the angular momentum representation, and it is shown how to calculate the intensity of emission as a function of the direction relative to the surface. The theory is strictly confined to clean surfaces or surfaces with ordered adlayers. The calculations employ the Reverse Scattering Perturbation Theory previously developed for LEED, involving an iterative procedure which enables one readily to establish convergence. Given translational symmetry, surfaces of arbitrary complexity can be treated within the same framework. The theory can be applied to cases where several or many ion cores emit coherently, by summing the amplitudes arising from each before calculating the intensity. Therefore not only Auger emission and photoemission from core states can be described, but also photoemission from valence states of the surface.

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